Free (Z/p)n -complexes and p-DG modules
Free (Z/p)n -complexes and p-DG modules
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游离 (Z/p)n 配合物和 p-DG 模块
DOI：
10.1016/j.jalgebra.2020.07.028
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发表时间：
2021
影响因子：
0.9
通讯作者：
Stephan, Marc
中科院分区：
文献类型：
--
作者：
Heller, Jeremiah;Stephan, Marc
本文用交换代数的方法重新讨论了初等交换p-群G的群环Fp [G]上完全链复形的同调的全秩的界问题。这将Carlsson对p= 2的结果推广到所有素数。作为中间步骤，我们构造了Fp [G]上完全链复形的导出范畴到多项式环上p-DG模的导出范畴的嵌入.
We reformulate the problem of bounding the total rank of the homology of perfect chain complexes over the group ring F p [G] of an elementary abelian p-group G in terms of commutative algebra. This extends results of Carlsson for p= 2 to all primes. As an intermediate step, we construct an embedding of the derived category of perfect chain complexes over F p [G] into the derived category of p-DG modules over a polynomial ring.